Least Common Multiple of 6786 and 6794

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Free LCM Calculator determines the least common multiple (LCM) between 6786 and 6794 the smallest integer that is 23052042 that is divisible by both numbers.

Least Common Multiple (LCM) of 6786 and 6794 is 23052042.

LCM(6786,6794) = 23052042

LCM of 6786 and 6794

Least common multiple or lowest common denominator (LCD) can be calculated in three ways;

LCM of:
and

Least Common Multiple of 6786 and 6794

LCM of 6786 and 6794 is 23052042

Least common multiple can be found by multiplying the highest exponent prime factors of 6786 and 6794. First we will calculate the prime factors of 6786 and 6794.

Prime Factorization of 6786


2 6786
3 3393
3 1131
13 377
29 29
1

Prime factors of 6786 are 2, 3, 13,29. Prime factorization of 6786 in exponential form is:

6786 = 21×32×131×291

Prime Factorization of 6794


2 6794
43 3397
79 79
1

Prime factors of 6794 are 2, 43,79. Prime factorization of 6794 in exponential form is:

6794 = 21×431×791

Now multiplying the highest exponent prime factors to calculate the LCM of 6786 and 6794.

LCM(6786,6794) = 21×32×131×291×431×791
LCM(6786,6794) = 23052042

Factors of 6786

List of positive integer factors of 6786 that divides 6786 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786

Factors of 6794

List of positive integer factors of 6794 that divides 6794 without a remainder.

1, 2, 43, 79, 86, 158, 3397, 6794

Least Common Multiple of 6786 and 6794 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 6786 and 6794, than apply into the LCM equation.

GCF(6786,6794) = 2
LCM(6786,6794) = ( 6786 × 6794) / 2
LCM(6786,6794) = 46104084 / 2
LCM(6786,6794) = 23052042

Properties of LCM 6786 and 6794

(i) The LCM of 6794 and 6786 is associative

LCM of 6786 and 6794 = LCM of 6794 and 6786

Related Least Common Multiples of 6786

Related Least Common Multiples of 6794

Frequently Asked Questions on LCM of 6786 and 6794

1. What is the LCM of 6786 and 6794?

Answer: LCM of 6786 and 6794 is 23052042.

2. What are the Factors of 6786?

Answer: Factors of 6786 are 1, 2, 3, 6, 9, 13, 18, 26, 29, 39, 58, 78, 87, 117, 174, 234, 261, 377, 522, 754, 1131, 2262, 3393, 6786. There are 24 integers that are factors of 6786. The greatest factor of 6786 is 6786.

3. What are the Factors of 6794?

Answer: Factors of 6794 are 1, 2, 43, 79, 86, 158, 3397, 6794. There are 8 integers that are factors of 6794. The greatest factor of 6794 is 6794.

4. How to Find the LCM of 6786 and 6794?

Answer:

Least Common Multiple of 6786 and 6794 = 23052042

Step 1: Find the prime factorization of 6786

6786 = 2 x 3 x 3 x 13 x 29

Step 2: Find the prime factorization of 6794

6794 = 2 x 43 x 79

Step 3: Multiply each factor the greater number of times it occurs in steps i) or ii) above to find the lcm:

LCM = 23052042 = 2 x 3 x 3 x 13 x 29 x 43 x 79

Step 4: Therefore, the least common multiple of 6786 and 6794 is 23052042.